Results 21 to 30 of about 49,072 (124)
Recapturing semigroup compactifications of a group from those of its closed normal subgroups
We know that if S is a subsemigroup of a semitopological semigroup T, and 𝔉 stands for one of the spaces 𝒜𝒫,𝒲𝒜𝒫,𝒮𝒜𝒫,𝒟 or ℒ𝒞, and (ϵ,T𝔉) denotes the canonical 𝔉-compactification of T, where T has the property that 𝔉(S)=𝔉(T)|s, then (ϵ|s,ϵ(S)¯) is an 𝔉 ...
M. R. Miri, M. A. Pourabdollah
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Joint continuity in semitopological semigroups [PDF]
The principal goal of this paper is squeezing out points of joint continuity from a separately continuous action of a semigroup on a topological space. The paper itself is a variation on a theme by R.Ellis, who showed that separate continuity on a locally compact Hausdorff group implies joint continuity for the multiplication function $[6]$.
Jimmie Lawson
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Fixed point theorems for generalized Lipschitzian semigroups
Let K be a nonempty subset of a p-uniformly convex Banach space E, G a left reversible semitopological semigroup, and 𝒮={Tt:t∈G} a generalized Lipschitzian semigroup of K into itself, that is, for s∈G, ‖Tsx−Tsy‖≤as‖x−y‖+bs(‖x−Tsx‖+‖y−Tsy‖)+cs(‖x−Tsy‖+‖y ...
Jong Soo Jung, Balwant Singh Thakur
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Semigroup compactifications by generalized distal functions and a fixed point theorem
The notion of Semigroup compactification which is in a sense, a generalization of the classical Bohr (almost periodic) compactification of the usual additive reals R, has been studied by J. F. Berglund et. al. [2].
R. D. Pandian
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Idempotent probability measures on compact semitopological semigroups. [PDF]
The structure of idempotent probability measures on compact topological semigroups is well known (see, for example, [2], [41, [7] and [9]). However, the statement in [8] that the methods of [7] can be used to obtain identical results when the semigroup is only semitopological (i.e.
John Pym
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Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a Fréchet differentiable norm, G a right reversible semitopological semigroup, and 𝒮={S(t):t∈G} a continuous representation of G as mappings of asymptotically nonexpansive
Jong Soo Jung +2 more
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Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in ...
Balwant Singh Thakur, Jong Soo Jung
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Primitive idempotent measures on compact semitopological semigroups [PDF]
For a semigroup S let I(S) be the set of idempotents in S. A natural partial order of I(S) is defined by e ≦ f if ef = fe = e. An element e in I(S) is called a primitive idempotent if e is a minimal non-zero element of the partially ordered set (I(S), ≦). It is easy to see that an idempotent e in S is primitive if and only if, for any idempotent f in S,
Stephen T. L. Choy
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The semigroup of ultrafilters near an idempotent of a semitopological semigroup
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Akbari Tootkaboni, M., Vahed, T.
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Bregman nonexpansive type actions of semitopological semigroups [PDF]
Let $S$ be a semitopological semigroup, and let $C$ be a nonempty closed convex subset of a reflexive Banach space. Under some amenability conditions on $S$, we provide existence results of fixed points for several Bregman nonexpansive type actions $S\times C\to C$, $(s,x)\mapsto T_s x$, of $S$ on $C$.
Bui Ngoc Muoi, Ngai‐Ching Wong
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